Question

A man uses $\frac{1}{3}$ of his land for growing mangoes, $\frac{1}{4}$ for bananas, $\frac{3}{8}$ for apples and the remaining $18$ hectares for oranges.
(b) how much land does he use for growing apples?

Answer 1

Let the total land in hectares be $x$,

According to question,

$\frac{x}{3}+\frac{x}{4}+\frac{3x}{8}+18=x$

$⟹\frac{x}{24}=18$

$⟹x=432$

Hence, land use for apples $=\frac{3\times 432}{8}=162hectares$